153408 has 56 divisors (see below), whose sum is σ = 438912. Its totient is φ = 47104.

The previous prime is 153407. The next prime is 153409. The reversal of 153408 is 804351.

It is an interprime number because it is at equal distance from previous prime (153407) and next prime (153409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3241 + ... + 3287.

2¹⁵³⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219456).

153408 is an abundant number, since it is smaller than the sum of its proper divisors (285504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

153408 is a wasteful number, since it uses less digits than its factorization.

153408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 153408 is about 391.6733332766. The cubic root of 153408 is about 53.5323122708.

Adding to 153408 its reverse (804351), we get a palindrome (957759).

It can be divided in two parts, 153 and 408, that added together give a triangular number (561 = T₃₃).

The spelling of 153408 in words is "one hundred fifty-three thousand, four hundred eight".